If the farmer plotted a straight line graph of how many goats he had left over time, the slope of the line would be -14.
To find the slope of the line representing the number of goats the farmer has over time, we need to use the formula:
slope = (y2 - y1) / (x2 - x1)Where y2 and y1 are the number of goats the farmer has at the end of two different months, and x2 and x1 are the number of months that have passed since he started selling the goats.
In this case:
y2 = 224 (goats left after 11 months)y1 = 280 (goats left after 7 months)x2 = 11 (months)x1 = 7 (months)So the slope of the line is:
slope = (224 - 280) / (11 - 7)slope = -56 / 4 slope = -14The slope of the line is -14, which means that the number of goats the farmer has decreases by 14 goats per month.
It's important to note that when the value of the slope is negative, it means that the line is going down; this means that the farmer is selling goats at a constant rate.
This question is incomplete and should be written as:
A farmer decides to start selling his goats at a constant rate per month. After seven months, he has 280 goats left. After eleven months, he has 224 goats left. If the farmer made a straight line graph representing how many goats he had left over time, what would be the slope of the line?Learn more about linear equation here: brainly.com/question/14323743
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Alfredo is ordering a taxi from an online taxi service. The taxi charges $3.50 just for
the pickup and then an additional $0.75 per mile driven. How much would a taxi ride
cost if Alfredo is riding for 5 miles? How much would a taxi ride cost that is m miles
long?
Szklanka ma pojemnóść 250ml czyli 250cm³. Ile szklanek można napełnić wodą z litrowej butelkki
Answer:
75cm
Step-by-step explanation:
A human heart beats an average of 80 beats per minute. How many beats is this in an hour?
Answer:
4800 beats an hour
Step-by-step explanation:
there are 60 minutes in and hour
the heart beats 80 times per minute( that is actually a very high heart rate)
80*60=4800 per hour
You deposit $500 in an account that earns 6.5% annual interest compounded yearly. Write a function that represents the balance y (in dollars) after x years.
Answer:
f(x)=.65+y
Step-by-step explanation:
.
The function for compound interest is A = 500 ( 1.065 )ˣ
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the compound interest amount be represented as A
Now , the interest rate r = 6.5 %
The number of times the interest is applied = yearly
The principal amount P = $ 500
n = 1 ( compounded yearly )
t = x ( number of years )
So, the function that represents the balance y (in dollars) after x years is:
y ( x ) = 500 ( 1 + 0.065/1 )ˣ
On simplifying , we get
y ( x ) = 500 ( 1.065 )ˣ
Hence , the function is A = 500 ( 1.065 )ˣ
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Mrs. Dyson is making trail mix for Christmas gifts. She needs 4 cups of nuts, 6 ups of raisins, and 5 cups of chocolate chips. What percent of the trail mix are
raisins
HINT: Use Part to Whole and Reduce
A.60%
B.40%
C.6%
D.15%
Answer:
b
Step-by-step explanation:
15/6=2.5
100/2.5=40
A coin lands on heads 300 times. The relative frequency of heads is 0.6. How many times was the coin flipped?
Answer: Number of times the coin is flipped =500
Step-by-step explanation:
Relative frequency of head = [tex]\dfrac{\text{Number of times heads occur}}{\text{Total number of times coin is flipped}}[/tex]
Let x= Number of times the coin is flipped, then
[tex]0.6=\dfrac{300}{x}\\\\\Rightarrow\ x=\dfrac{300}{0.6}\\\\\Rightarrow\ x=\dfrac{3000}{6}\\\\\Rightarrow\ x=500[/tex]
Hence, Number of times the coin is flipped =500
A student was given the following instructions:
"Given f(x) = 6x + 4, find f(4)."
Solve the system of linear equations by elimination. Check your solution. 3x + 2y = 7 -3x + 4y = 5
Answer:
(3x+2y=7-3x+4y)=5
3x+3x+2y-4y-7=5
6x-2y-7=5
6x-2y=5+7
=12
2(3x-y)=12
3x-y=12/2
= 6
How do you list all of the rational zeros of g(x)=x^4-3x^3-53x^2-9x?
I only know how to list them for when the last number doesn’t have the variable x.
Answer:
No lo se
Step-by-step explanation:
A quantity with an initial value of 720 decays continuously at a rate of 9% per hour. What is the value of the quantity after 69 hours, to the nearest hundredth?
Answer:
1.45
Step-by-step explanation:
f(t)=720e^rt
f(t)=720e
rt
Continuously uses Pe^(rt)
r\text{: decays }9\% \
r: decays 9%→−0.09
per hour
f(t)=720e^{-0.09t}
f(t)=720e
−0.09t
(where t is in hours)
69\text{ hours: no time conversion necessary}
69 hours: no time conversion necessary
hours are the only units in the problem.
\text{Plug in }t=69
Plug in t=69
f(69)=720e^{-0.09(69)}
f(69)=720e
−0.09(69)
1.44665097413
1.44665097413
\approx 1.45
≈1.45
Round to the nearest hundredth
Is -50 greater than 2
True or false
FALSE
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
Find the radius of a circle in which an inscribed square has a side of 8 inches.
Answer:
r = 4
Step-by-step explanation:
side of square is the same as the diameter of the circle
if diameter is 8 then radius is 4
Ava pours 3 gallons of paint equally into 5 cans. How many gallons of paint will there be in each can?
Answer:
0.6
Step-by-step explanation:
first you well have a 3 and then dived it by 5 and after you dived them to you well get the answer 0.6
What’s the radius of a circle with the circumference of 37.68 feet
Answer:
r≈6ft
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=37.68
2·π≈5.99696ft
pls mark as brainliest
please answer this question
Answer:
activity2
1. ( 14.4) adn
2.(0.616) adn
3.( 5-36) adn
3 times the length of a field increased by 4 times the width gives 24 units. Two times the length decreased by 3 times the width is -1 unit. Find the dimensions
Answer:
width = 3
length = 4
Step-by-step explanation:
Ok so you can form a system of equations where w is the width and l is the length:
3l + 4w = 24
2l - 3w = -1
you want to eliminate one of the variables and then solve, so you can first take the top equation and multiply both sides by 2:
6l + 8w = 48
next, multiply the second equation by 3:
6l - 9w = -3
now that both include 6l, you can subtract the two equations
6l + 8w = 48
- (6l - 9w = -3)
17w = 51
divide both sides by 17
w = 3
Plug w = 3 into the equation 3l + 4w = 24:
3l + 4 * 3 = 24
3l + 12 = 24
subtract 12 from both sides
3l = 12
divide both sides by 3
l = 4
Help pls!!!!!!!!!!!!!!!!!!!!!!!
Answer:
9x6=54 ur welcome:)
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
The perimeter of a rectangle formula is P = 2*Length + 2*Width
The length is the largest side, so it's 9.
The width is the smallest side, so it's 6.
So, our formula would be like this: P = 2*9 + 2*6.
solve using quadratic equation
Answer:
±5 is your answer
Step-by-step explanation:
x²-25=0
comparing above equation with ax²+bx+c
we get
a=1
b=0
c=-25
by using quadratic equation
x=(-b±√(b²-4ac))/2a=(-0±√(0²-4×1×-25))/2×1
=±{√(100)}/2=±(√10²)/2=±10/2=±5
Answer:
5, - 5
Step-by-step explanation:
x^2 = 25
x = ± √25
= ± 5
x = 5, - 5
Kelly works at her own nail
salon. Today, she did 11
manicures and received $52.25
overall in tips. If x represents the
cost of each manicure, which of
the following equations can be
used to find the total amount of
money she earned, including
tips, for her nail salon today?
A. y = 11(x + 52.25)
B. y = 52.25x + 11
c. y = 52.25(x + 11)
D. y = 11x + 52.25
Answer:
(x×11)÷52.25
Step-by-step explanation:
if 11=52.25 and y=x then x11÷52.25 i think that is the answer
Please help! Complete answers please.
Answer:
m3 = 103 degrees
m4 = 77 degrees
Step-by-step explanation:
comment if you want me to explain please :)
The interior angles of ∆AUL (or any triangle for that matter) sum to 180°, so
∠3 + 20° + 57° = 180°
===> ∠3 = 103°
Angles ∠3 and ∠4 occur on the same ray LP, so they are supplementary to one another. In other words,
∠3 + ∠4 = 180°
so that
∠4 = 180° - 103° = 77°
Michael needs to gain weight. He weighs 120 pounds and thinks he can gain 2 pounds a week. He wants to weigh at least 165 pounds. How long will it take him to reach this goal? inequality: solution:
Answer:
The answer is B
Step-by-step explanation:
is a rectangle a plane shape
Answer:
A plane shape with four straight sides and four right angles for corners is called a rectangle.
Step-by-step explanation:
Item 4 Find the distance between the two points. (4, −5), (−1, 7)
Answer:
yes , the distance between the two points is 13 units
Hi! PLS HELP!!! 20 POINTS!
A children's pool contains 17,500 milliliters. How many liters are in the pool?
1.75 liters
17.5 liters
175 liters
1,750 liters
pls help!
If u put something of the topic imma report u
Have a great day! :)
(its not a I did it and got it wrong!!)
Answer:
17.5 liters
Step-by-step explanation:
hope its the answer your looking for
Nita needs at least $85 to buy a skateboard. She already has $61. Which graph best represents all the possible dollar amounts that Nita can save to buy a skateboard? (5 points)
Number line graph with open circle on 24 and shading to the right.
Number line graph with closed circle on 24 and shading to the right.
Number line graph with open circles on 0 and 24 and shading in between.
Number line graph with closed circles on 0 and 24 and shading in between.
Answer:
Number line graph with closed circle on 24 and shading to the right.
Step-by-step explanation:
First, the graph has to have a closed circle on only 24.
Since she has $61 and needs at least $85 to buy a skateboard, she needs to have at least $24 saved to buy one.
This means the last 2 answer choices are wrong, because there cannot be shading in between.
The first answer choice is also wrong because it puts a open circle, instead of a closed one, on 24.
So, the correct answer is Number line graph with closed circle on 24 and shading to the right.
give the other brainliest
Please I need formula and faces
Answer:
+3[36 hahahahhh Sana all mag hanap ka nlg sa iba
Please work out -80 ÷ -8
Answer:
10
Step-by-step explanation:
-80 / -8 = 10
the negatives cancel each other out
-80÷-8=10
.....................
please help me on this will give you brainliest
Answer:
2,010,000
Step-by-step explanation:
3 x 10^5
10^5= 100000
3 x 100000 = 300000
300000 x 6.7 = 2,010,000
Hope this helps
Answer:
Im not 100% sure but i think its 44,776.1194
Step-by-step explanation: What you do is multiply 3 x 100,000 because 10 to the 5th power is 100,000. Then you divide 300,000 by 6.7 and get your answer of 44,776.1194. Sorry if its incorrect
Help me plz., ,, ,, ,, ,,,
Answer:
1. 100000
2. 16777216
3. x7
4.64
5.1/64 (Decimal: 0.015625)
Step-by-step explanation:
Finding a percentage of o total amount without a calculator...
An item is regularly priced at $35. It is on sale for 40% off the regular price. How much (In dollars) Is discounted from the regular price?
Amount discounted: si
х
5
?
9514 1404 393
Answer:
$14
Step-by-step explanation:
Computing 40% can be done a couple of ways.
40% = 40/100 = 4/10 = 2/5
40% of 35 = (2/5)(35) = 2(35/5) = 2(7) = 14
__
40% = 4/10 = 2(2(1/10))
40% of 36 = 2(2(1/10)(35)) = 2(2(3.5)) = 2(7) = 14
The amount discounted is $14.